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ellipticFunctions by
jTEM
C D E J K S T 

C

cn(Complex, Complex, Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes cn(u,k(τ)) for given latiuce paramter τ, and theta constants.
cn(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns cn(u,k).
cn(double, double) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns cn(u,k).

D

de.jtem.ellipticFunctions - package de.jtem.ellipticFunctions
The ellipticFunctions package provides a library for elliptic functions.
dn(Complex, Complex, Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes dn(u,k(τ)) for given latiuce paramter τ, and theta constants.
dn(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns dn(u,k).
dn(double, double) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns dn(u,k).

E

Elliptic - Class in de.jtem.ellipticFunctions
Class provides Jacobi's elliptic theta functions.

J

Jacobi - Class in de.jtem.ellipticFunctions
Implementation for Jacobi's elliptic functions.

K

K_from_k(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes quarter period K as function of the modulus k.
K_from_k(Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns quarter period K as function of the modulus k.
K_from_KPrime_and_tau(Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes quarter period K as function of complementary quarter period K' and lattice parameter τ.
K_from_KPrime_and_tau(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns quarter period K as function of complementary quarter period K' and lattice parameter τ.
k_from_thetaConstants(Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes modulus k as function of theta constants
k_from_thetaConstants(Complex[]) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns modulus k as function of theta constants.
K_from_thetaConstants(Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes quarter period K as function of theta constants.
K_from_thetaConstants(Complex[]) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns quarter period K as function of theta constants.
kPrime_from_k(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes complementary modulus k' as function of the modulus.
kPrime_from_k(Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary modulus k' as function of the modulus.
kPrime_from_k(double) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary modulus k' as function of the modulus.
KPrime_from_k(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes cmplementary quarter period K' as function of the modulus k.
KPrime_from_k(Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary quarter Period K' as function of the modulus k.
KPrime_from_K_and_tau(Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes complementary quarter period K' as function of quarter period K and lattice parameter τ.
KPrime_from_K_and_tau(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary quarter period K' as function of quarter period K and lattice parameter τ.
kPrime_from_thetaConstants(Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes complementary modulus k' as function theta constants.
kPrime_from_thetaConstants(Complex[]) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary modulus k' as function of theta constants.

S

sn(Complex, Complex, Complex[], Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes sn(u,k(τ)) for given latiuce paramter τ, and theta constants.
sn(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns sn(u,k).
sn(double, double) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns sn(u,k).

T

tau_from_k(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes lattice parameter τ as function of modulus k.
tau_from_k(Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes lattice parameter τ as function of modulus k.
tauPrime_from_tau(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Computes complementary lattice paramter τ' = -1/τ for lattice parameter τ.
tauPrime_from_tau(Complex) - Static method in class de.jtem.ellipticFunctions.Jacobi
Returns complementary lattice paramter τ' = -1/τ for lattice parameter τ.
theta(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ(z,τ).
theta(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ(w,τ) = c θ(z,τ).
theta0(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ0(z,τ).
theta0(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ0(w,τ) = c θ(z,τ).
theta1(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ1(z,τ).
theta1(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ1(w,τ) = c θ(z,τ).
theta2(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ2(z,τ).
theta2(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ2(w,τ) = c θ(z,τ).
theta3(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ3(z,τ).
theta3(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ3(w,τ) = c θ(z,τ).
theta4(Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes θ4(w,τ).
theta4(Complex, Complex, Complex, Complex, Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Helps to compute θ4(w,τ) = c θ(z,τ).
thetaConstants(Complex, Complex[]) - Static method in class de.jtem.ellipticFunctions.Elliptic
Computes theta constants θ0(0,τ), θ1(0,τ) = 0, θ2(0,τ) = 0, and θ3(0,τ).
thetaConstants(Complex) - Static method in class de.jtem.ellipticFunctions.Elliptic
Returns theta constants θ0(0,τ), θ1(0,τ) = 0, θ2(0,τ) = 0, and θ3(0,τ).
C D E J K S T 
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